On a Duality in Calogero-Moser-Sutherland Systems

Details On a Duality in Calogero-Moser-Sutherland Systems On a Duality in Calogero-Moser-Sutherland Systems

1997-07-11

arxiv.org/abs/hep-th/9707111v1

Physics

High Energy Physics

High Energy Physics - Theory

6 pp., Harvmac (l) mode

Scientific paper

We point out a map between the dynamics of a non-relativistic system of $N$ particles in one dimension interacting via the pair-wise potentials $U_I(q) = (\nu^2/4R^2)\sin^2(q/2R)$ and the one of the particles with the pair potential $U_{II}(q) = \nu^2/q^2$ and the external potential $U_{ext} = \omega^2 q^2/2$. The natural relation between the frequency $\omega$ and the radius $R$ is: $\omega R = 1$.

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